• Journal of the Chungcheong Mathematical Society
• /
• v.22 no.3
• /
• pp.399-408
• /
• 2009

A bipolar fuzzy translation and a bipolar fuzzy S-extension of a bipolar fuzzy subalgebra in a BCK/BCI-algebra are introduced, and related properties are investigated.

• The Pure and Applied Mathematics
• /
• v.19 no.3
• /
• pp.251-262
• /
• 2012

Based on the theory of a falling shadow which was first formulated by Wang([14]), a theoretical approach of the ideal structure in BH-algebras is established. The notions of a falling subalgebra, a falling ideal, a falling strong ideal, a falling $n$-fold strong ideal and a falling translation ideal of a BH-algebra are introduced. Some fundamental properties are investigated. Relations among a falling subalgebra, a falling ideal and a falling strong ideal, a falling $n$-fold strong ideal are stated. A relation between a fuzzy subalgebra/ideal and a falling subalgebra/ideal is provided.

• Journal of applied mathematics & informatics
• /
• v.7 no.2
• /
• pp.685-692
• /
• 2000

We introduce the notion of T-fuzzy circled subalgebras, and obtain some related results.

• Journal of applied mathematics & informatics
• /
• v.8 no.1
• /
• pp.261-272
• /
• 2001

The intuitionistic fuzzification of a subalgebra in a BCK/BCI-algebra is considered, and related results are investigated. The notion of equivalence relations on the family of all intuitionistic fuzzy subalgebras of a BCK/BCI-algebra is introduced, and then some properties are discussed.

• The Pure and Applied Mathematics
• /
• v.15 no.4
• /
• pp.377-385
• /
• 2008

The notion of fuzzy abysms in Hilbert algebras is introduced, and several properties are investigated. Relations between fuzzy subalgebra, fuzzy deductive systems, and fuzzy abysms are considered.

• East Asian mathematical journal
• /
• v.15 no.1
• /
• pp.11-17
• /
• 1999

• Honam Mathematical Journal
• /
• v.33 no.3
• /
• pp.367-379
• /
• 2011

Fuzzy ${\alpha}$-translations, (normalized, maximal) fuzzy extensions and fuzzy multiplications of fuzzy hyper BCK-subalgebras in hyper BCK-algebras are discussed. Relations among fuzzy ${\alpha}$ translations, (normalized, maximal) fuzzy extensions and fuzzy multiplications are investigated.

• Communications of the Korean Mathematical Society
• /
• v.25 no.3
• /
• pp.335-342
• /
• 2010

The structure of fuzzy topological spaces based on WFI-algebras is considered. The notions of WFI-fuzzy topological spaces and WFI-fuzzy continuous mappings are introduced, and several properties are investigated. A relation between WFI-homomorphism and WFI-fuzzy continuous mapping is given.

• Journal of applied mathematics & informatics
• /
• v.22 no.1_2
• /
• pp.491-500
• /
• 2006

In this paper, we define intuitionistic fuzzy subalgebras of B-algebras which is related to several classes of algebras such as BCI/BCK-algebras. We could obtain some important results for the homomorphic image and equivalence relations on IFS(X).

• Proceedings of the Korean Institute of Intelligent Systems Conference
• /
• 1996.10a
• /
• pp.101-103
• /
• 1996

In this note we will discuss extension of fuzzy Lie subalgebra and fuzzy Lie ideals of a Lie algebra L on universal enveloping algebra U(L) of L and will study some relations among them.